Information on Result #2224863
Linear OA(2165, 264, F2, 48) (dual of [264, 99, 49]-code), using 1 times truncation based on linear OA(2166, 265, F2, 49) (dual of [265, 99, 50]-code), using
- construction X applied to Ce(50) ⊂ Ce(46) [i] based on
- linear OA(2165, 256, F2, 51) (dual of [256, 91, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2157, 256, F2, 47) (dual of [256, 99, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2165, 132, F2, 2, 48) (dual of [(132, 2), 99, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2165, 88, F2, 3, 48) (dual of [(88, 3), 99, 49]-NRT-code) | [i] | ||